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The vernier scale of a travelling micros...

The vernier scale of a travelling microscope has 50 division which coincide with 49 main scale division. If each main scale division is 0.5 mm, calculate the minimum inaccuracy in the measurement of distance.

Text Solution

Verified by Experts

Minimum inaccuracy = Vernier constant
= 1 MSD – 1 VS.D
= 1 MSD – `(49)/(50)` MSD
`=(1)/(50)(0.5mm)=0.01mm`
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Knowledge Check

  • The vernier scale of a travelling microscope has 50 divisions which coincide with 49 main scale divisions. If each main scale division is 0.5 mm, then the least count of the microscope is

    A
    0.01 cm
    B
    0.5 mm
    C
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    D
    0.5 cm

  • The vernier of a circular scale is divided into 30 divisons, which coincides with 29 main scale divisions. If each main scale division is (1//2)^@ the least count of the instrument is (1^@=60')

    A
    `0.1`
    B
    `1'`
    C
    `10'`
    D
    `30'`

  • The least count of vernier callipers is 0.1 mm . The main scale reading before the zero of the vernier scale is 10 and the zeroth division of the vernier scale coincides with the main scale division. Given that each main scale division is 1mm . The measured value should be expressed as

    A
    `1 cm`
    B
    `2 cm`
    C
    `0.5 cm`
    D
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